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Finding the Fourth Proportional to 140.26, 193.49 and 82

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Solution

The fourth proportional to 140.26, 193.49 and 82 is: 113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.26 : 193.49 = 82 : x
  2. Step 2: Convert to fraction form
    140.26/193.49 = 82/x
  3. Step 3: Cross multiply
    140.26x = 193.49 × 82
  4. Step 4: Simplify right side
    140.26x = 15,865.77
  5. Step 5: Solve for x
    x = 15,865.77/140.26
  6. Step 6: Final answer
    x = 113.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.